Holy wow factor batman. As it turns out, slope are derrivates are the same thing. Also, Colin's change in height during the interval of 5 to 10 years was .354 meters, which was almost the same (.338) as the intergral from 5 to 10 on the m/yr graph, which would make sense since it's intergral is height. The generalization that a child's height at 3 is half its adult height doesn't hold up in this case, since Colin's height at 20 is a more than twice it was at 3. Also, as can be seen from the m/yr graph, his growth at an early age was much greater than as a teenager.
Holy wow factor batman. As it turns out, slope are derrivates are the same thing. Also, Colin's change in height during the interval of 5 to 10 years was .354 meters, which was almost the same (.338) as the intergral from 5 to 10 on the m/yr graph, which would make sense since it's intergral is height. The generalization that a child's height at 3 is half its adult height doesn't hold up in this case, since Colin's height at 20 is a more than twice it was at 3. Also, as can be seen from the m/yr graph, his growth at an early age was much greater than as a teenager.